With the high-speed development of manufacturing, the brazing technology is becoming widely used and turning toward a greenization, high efficiency, automation and high reliability direction. The geometrical morphology of the brazing filler metal plays an important role in guaranteeing the automation and high reliability of the brazing. At present, there are numerous researches on brazing filler metal, many of them are based on the material composition, properties, manufacturability and usage range, etc. Systematic research about the geometrical morphology of the brazing filler metal is rarely reported. Choosing the perfect geometrical morphology of the brazing filler metal reasonably can optimize the process and improve the brazing quality. In this paper, the geometrical morphology of the brazing material is the main line, and the characteristics, application scope, representative systems, preparation methods and current situation of the filiform/strip, the stick, bulk, foil tape, powder brazing filler metals, the paste solder, the flux-cored wire, the amorphous and the preformed brazing filler metals are systematically summarized. The powder, flux-cored and amorphous brazing filler metals and suitable filler metal geometries for some common brazing methods are introduced in details. Research suggests that the developing direction of the morphology of the future brazing filler metal is greenization, high-efficiency, low-cost and adapted to the requirement of new materials, automation, digitization and intelligence.